Chirality is a common ingredient in topological magnetic orders [1]}, [2]}, [3]}, but in terms of which realization of non-Hermitian topology is rarely addressed [4]}, [5]}. Chiral interaction between Kittel magnon of a magnetic wire (or sphere) has been recently discovered when they couple with the traveling modes such as the spin waves in films [6]}, [7]}, [8]}, [9]}, waveguide microwaves [10]}, [11]}, and surface acoustic waves [12]}, [13]}, [14]}, to name a few, in that the Kittel modes prefer to couple with the traveling waves propagating in one direction. We have argued that these traveling waves can mediate a long-range chiral interaction between two magnetic wires if their damping is not large [9]}, [8]}. It could be thereby speculated that these long-range chiral interaction might lead to a similar non-Hermitian skin effect to that by the chiral short-range interaction in Hatano-Nelson model [17]} since the energy tends to accumulate at one end. However, theoretical effort showed that these systems do not favor the coalesce of bulk modes [10]} but only hold weak skin tendency for those modes with large decay rates, nor were the edge modes ever observed by experiments [8]}, [20]}, [21]}, [22]}. The strong interference brought by the propagation of the traveling waves may be detrimental for the accumulation.
